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Finding the Fourth Proportional to 505.94, 759.04 and 197.80

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Solution

The fourth proportional to 505.94, 759.04 and 197.80 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 759.04 = 197.80 : x
  2. Step 2: Convert to fraction form
    505.94/759.04 = 197.80/x
  3. Step 3: Cross multiply
    505.94x = 759.04 × 197.80
  4. Step 4: Simplify right side
    505.94x = 150,135.72
  5. Step 5: Solve for x
    x = 150,135.72/505.94
  6. Step 6: Final answer
    x = 296.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.